Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x^3 + 4. include the average rate of change in your answer.

ANSWER

EXPLANATION

The average rate of change of a function, f(x) on the interval x=a,to x=b is the slope of the secant line joining

The given function is

When x= 4,

When

The average rate of change between x = 4 and x = 6 for the given function is:

The average rate of change is: 152

The cubic function f(x) is given by:

Now, we know that the average rate of change of a given function f(x) from x=a to x=b is given by:

Here we have:

Hence,

i.e.

so, the average rate of the given function is given by:

and

so, we have:

i.e.

i.e.

60%

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: